Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C13 ⋊ #389 |
170 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 91 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 832 |
Polycyclic presentation:
2^6,13|a^2=d,b^2=f,c^2=e,c^a=ce,g^a=g^12,c^b=cf148 conjugacy classes — view the full character table.
| maximal subgroup of | #13115084, #13115085, #13115091, … |
| maximal normal subgroup of | #13115084, #13115085, #13115091, … |
| maximal quotient of | #13113065, #13113070, #13113089, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 612);